Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562m |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-3.7717224535338E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3155724,-2177076528] |
[a1,a2,a3,a4,a6] |
j |
-4767528517133620125889/51738305261094144 |
j-invariant |
L |
1.1319935024291 |
L(r)(E,1)/r! |
Ω |
0.056599675121455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854s1 |
Quadratic twists by: -3 |